ORDER OF THE RUNGE-KUTTA METHOD AND EVOLUTION OF THE STABILITY REGION

DOI10.15826/umj.2019.2.006zbMath1450.65069OpenAlexW2998254429MaRDI QIDQ5125243

Hippolyte Séka, Kouassi Richard Assui

Publication date: 5 October 2020

Published in: Ural Mathematical Journal (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/umj103

zbMATH Keywords

ordinary differential equationsRunge-Kutta methodsstability regionorder of methods

Mathematics Subject Classification ID

Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Cites Work

• A new embedded pair of Runge-Kutta formulas of orders 5 and 6
• Stability of Runge--Kutta methods in the numerical solution of equation \(u'(t)=au(t)+a_{0}u([t)\).]
• Estimating the error in the classical Runge-Kutta methods
• Solving Ordinary Differential Equations I
• The Complete Solution of the Fifth Order Runge–Kutta Equations
• Numerical Methods for Ordinary Differential Equations
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